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Differentiation and Integration over the Sphere

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2044)

Abstract

In this chapter, we discuss some properties and formulas for differentiation and integration involving spherical harmonics.

Keywords

  • Spherical Harmonics
  • Funk Hecke Formula
  • Integral Identity
  • Laplace-Beltrami Operator
  • Positive Definite Function

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© 2012 Springer-Verlag Berlin Heidelberg

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Atkinson, K., Han, W. (2012). Differentiation and Integration over the Sphere. In: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction. Lecture Notes in Mathematics(), vol 2044. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25983-8_3

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